{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 6.DBSCAN聚类算法(基于密度)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<p>DBSCAN的原理是识别特征空间中的密集区域中的点，即簇形成数据的密集区域,并由相对较空的区域分隔开</p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cluster memberships:\n",
      "[-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.cluster import DBSCAN\n",
    "X,y  = make_blobs(random_state=0,n_samples=12)\n",
    "\n",
    "dbscan = DBSCAN() # 使用默认的eps和min_samples\n",
    "clusters = dbscan.fit_predict(X)\n",
    "print(f\"Cluster memberships:\\n{clusters}\") # 如下,所有标签都为-1，代表都是噪声点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "min_samples: 2 eps: 1.000000  cluster: [-1  0  0 -1  0 -1  1  1  0  1 -1 -1]\n",
      "min_samples: 2 eps: 1.500000  cluster: [0 1 1 1 1 0 2 2 1 2 2 0]\n",
      "min_samples: 2 eps: 2.000000  cluster: [0 1 1 1 1 0 0 0 1 0 0 0]\n",
      "min_samples: 2 eps: 3.000000  cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n",
      "min_samples: 3 eps: 1.000000  cluster: [-1  0  0 -1  0 -1  1  1  0  1 -1 -1]\n",
      "min_samples: 3 eps: 1.500000  cluster: [0 1 1 1 1 0 2 2 1 2 2 0]\n",
      "min_samples: 3 eps: 2.000000  cluster: [0 1 1 1 1 0 0 0 1 0 0 0]\n",
      "min_samples: 3 eps: 3.000000  cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n",
      "min_samples: 5 eps: 1.000000  cluster: [-1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1]\n",
      "min_samples: 5 eps: 1.500000  cluster: [-1  0  0  0  0 -1 -1 -1  0 -1 -1 -1]\n",
      "min_samples: 5 eps: 2.000000  cluster: [-1  0  0  0  0 -1 -1 -1  0 -1 -1 -1]\n",
      "min_samples: 5 eps: 3.000000  cluster: [0 0 0 0 0 0 0 0 0 0 0 0]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 792x576 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import mglearn\n",
    "mglearn.plots.plot_dbscan() # 取不同eps和min_samples时的值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "标准化后的结果:[0 1 1 1 1 0 2 2 1 2 2 0]\n"
     ]
    }
   ],
   "source": [
    "# 标准化X，y\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "scaler = StandardScaler()\n",
    "scaler.fit(X)\n",
    "X_scaled = scaler.transform(X)\n",
    "dbscan = DBSCAN(min_samples=3,eps=1.5)\n",
    "clusters = dbscan.fit_predict(X_scaled)\n",
    "print(f\"标准化后的结果:{clusters}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Feature 1')"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from sklearn.datasets import make_moons\n",
    "# 使用标准化缩放\n",
    "X,y = make_moons(n_samples=200,noise=0.05,random_state=0)\n",
    "# 将数据缩放成平均值为0,方差为1\n",
    "scaler = StandardScaler()\n",
    "scaler.fit(X)\n",
    "X_scaled = scaler.transform(X)\n",
    "\n",
    "dbscan=DBSCAN()\n",
    "clusters = dbscan.fit_predict(X_scaled)\n",
    "# 绘制簇分配\n",
    "plt.scatter(X_scaled[:,0],X_scaled[:,1],c=clusters,cmap=mglearn.cm2,s=60)\n",
    "plt.xlabel(\"Feature 0\")\n",
    "plt.ylabel(\"Feature 1\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Feature 1')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dbscan=DBSCAN(eps=0.25)\n",
    "clusters = dbscan.fit_predict(X)\n",
    "# 绘制簇分配\n",
    "plt.scatter(X[:,0],X[:,1],c=clusters,cmap=mglearn.cm2,s=60)\n",
    "plt.xlabel(\"Feature 0\")\n",
    "plt.ylabel(\"Feature 1\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 总结\n",
    "<p>聚类算法能够处理分布不均匀的簇,且不需要设置簇的个数</p>\n",
    "<P>但是聚类算法需要设置min_samples和eps</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
